Finding the Fourth Proportional to 378,082,537,272.54, 521,755,473,415.47 and 204,467,676,716.82
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Solution
The fourth proportional to 378,082,537,272.54, 521,755,473,415.47 and 204,467,676,716.82 is: 282,166,243,998.32
Step by Step Solution
- Step 1: Write the proportion equation
378,082,537,272.54 : 521,755,473,415.47 = 204,467,676,716.82 : x - Step 2: Convert to fraction form
378,082,537,272.54/521,755,473,415.47 = 204,467,676,716.82/x - Step 3: Cross multiply
378,082,537,272.54x = 521,755,473,415.47 × 204,467,676,716.82 - Step 4: Simplify right side
378,082,537,272.54x = 106,682,129,463,545,692,160,000 - Step 5: Solve for x
x = 106,682,129,463,545,692,160,000/378,082,537,272.54 - Step 6: Final answer
x = 282,166,243,998.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.